Examples of 'lebesgue' in a sentence
Meaning of "lebesgue"
Lebesgue refers to Henri Lebesgue, a French mathematician known for his development of the theory of Lebesgue integration and the Lebesgue measure. The term is often used in mathematical contexts
How to use "lebesgue" in a sentence
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lebesgue
Lebesgue theorem for functions of bounded variation.
Where the integral is to be understood in the usual lebesgue sense.
Lebesgue integral in the abstract space.
We prove the existence of invariant probability measures absolutely continuous with respect to lebesgue measure.
Lebesgue invented a new method of integration to solve this problem.
This integral is precisely the Lebesgue integral.
Lebesgue integral on a line can also be presented in a similar fashion.
Exactly as it is for the ordinary Lebesgue integral.
Lebesgue differentiation theorem.
A particularly important example is the Lebesgue measure.
Lebesgue density theorem.
The reducer of this measure of Lebesgue is given by.
Lebesgue covering dimension.
An approximation of the Lebesgue measure of the spectrum is obtained.
Lebesgue covering theorem.
See also
There is no guarantee that every function is Lebesgue integrable.
Lebesgue singular function.
Its properties are identical to the traditional Lebesgue integral.
Lebesgue space norm estimates for the spherical maximal function.
Where the integral is understood in the sense of Lebesgue.
Lebesgue outer measure.
On the change of variables in the sign of Lebesgue integral.
Lebesgue measurable function.
That is except possibly on a set of Lebesgue measure zero.
Lebesgue integrability is enough.
Lambda denotes the Lebesgue measure in mathematical set theory.
Lebesgue measurable functions are of interest in mathematical analysis because they can be integrated.
We define the general Lebesgue integral for measurable functions.
Lebesgue measure on Euclidean space is locally finite.
The criterion has nothing to do with the Lebesgue integral.
The Lebesgue integral is deficient in one respect.
A simple example of a doubling measure is Lebesgue measure on a Euclidean space.
The Lebesgue constants also arise in another problem.
It follows that g has a set of discontinuities of positive Lebesgue measure.
Consider the Lebesgue measure on the real line.
It is not generally possible to write the inverse transform as a Lebesgue integral.
Consider the Lebesgue measure on the half line.
It is therefore important to develop a tool for differentiating Lebesgue space functions.
The Lebesgue spaces appear in many natural settings.
An analogue of this inequality for Lebesgue integral is used in construction of Lp spaces.
The Lebesgue theory does not use upper sums.
Prerequisites include basic knowledge in Lebesgue integrals and functional analysis.
The Lebesgue integral extends the integral to a larger class of functions.
This is for example the case for the Lebesgue measure.
The notion of a Lebesgue number itself is useful in other applications as well.
Such distributions are not absolutely continuous with respect to Lebesgue measure.
The Lebesgue integral made it possible to integrate a much broader class of functions.
It is dynamical analog of the inductive definition of Lebesgue covering dimension zero.
The use of the Lebesgue integral ensures that the space will be complete.
This applies in particular when and when is the Lebesgue measure.
